J. Anat. (1999) 195, pp. 551–562, with 1 figure Printed in the United Kingdom 551
Scoring of nonmetric cranial traits : a population study
P. BRASILI, L. ZACCAGNI AND E. GUALDI-RUSSO
Dipartimento di Biologia Evoluzionistica Sperimentale, Area di Antropologia Universita[ degli Studi di Bologna, Bologna,
Italy
(Accepted 22 June 1999)
The aims of the present study were: (1) to supply further knowledge about variations in nonmetric cranial
traits in relation to sex, age and laterality and (2) to evaluate biological distance between samples from a
recent population. The incidence of 18 nonmetric variants of the cranium were determined in 3 adult
samples of 394 skulls of known sex from North Sardinia (Sassari, Alghero and Ozieri) ; for the Sassari
sample (n¯ 200) age at death was also known. Some significant sex differences were observed. Age did not
appear to influence the frequency of the discontinuous traits but did for legibility. Side differences may
provide important information about environmental influences. The interpopulation analysis indicates a
stronger relationship between samples that are geographically closer (Sassari and Alghero), in accordance
with other studies, strengthening the hypothesis of the validity of the use of nonmetric traits in the study of
the peopling of a territory.
Key words : Osteology; skull ; discontinuous traits ; biological distance.
Discontinuous traits of the skull have been widely
used since the early 1900s as tools for the evaluation
of the genetic variability of human populations, for
assessment of the existence of parental structures
within a community, or as taxonomic indicators. They
are among the traits that permit measurement of the
biological distances between past populations. Ac-
cording to Buikstra et al. (1990), this type of study
represents ‘an important component of contemporary
physical anthropological investigation’. Their use can
enable the provision of answers to evolutionary or
microevolutionary questions and investigation of
archeological problems such as models of settling and
cultural stability, as well as paleodemographic and
paleopathological topics.
The employment of discontinuous traits in anthro-
pology has certainly been spurred by their apparent
ease of scoring and the fact that they are believed to
be genetically determined, even though partly under
environmental control. The multiplication of studies,
however, has highlighted various problems in the use
of nonmetric traits in human population studies.
Correspondence to Prof. P. Brasili, Dipartimento di Biologia Evoluzionistica Sperimentale, Area Antropologica, Universita' degli Studi di
Bologna, Via Selmi n.3, 40126 Bologna, Italy. Tel. : 39 051 209193; fax: 39 051 209191; e-mail : brasili!alma.unibo.it
These relate to their choice, the existence of an
effective genetic basis and the effects of the en-
vironment on their expression. In addition, from a
methodological standpoint there is a lack of agree-
ment between various authors on the importance of
sex differences in these investigations. Many re-
searchers believe that the sexes must be kept separate
in the analysis of discontinuous traits (Woo, 1950;
Berry, 1975; Ossenberg, 1976; Muller, 1977; Benassi-
Graffi et al. 1979a, b ; Brasili-Gualandi & Gualdi-
Russo, 1980, 1981, 1989; Goldstein et al. 1980;
Turbon & Pons, 1982; Cesnys, 1982; Dahinten &
Pucciarelli, 1983; Milne et al. 1983; Axellson &
Hedegaard, 1985) while others maintain that this
factor of variability has little importance (Vecchi,
1968; Reggio et al. 1969; Cosseddu et al. 1979;
Scarsini et al. 1980; Prowse & Lovell, 1995). Still
others prefer to exclude traits that exhibit sex
differences (Perizonius, 1979; Conner, 1990; Konigs-
berg, 1990). A similar situation exists with respect to
age. Indeed, for some traits, e.g. the foramina, it
would perhaps be preferable to exclude elderly
subjects. Another widely debated problem is whether
possible asymmetries of expression of bilateral traits
should be considered (Conner, 1990; Konigsberg
1990; Pathak & Kaul, 1991; Christensen, 1997).
Despite being widely discussed in the literature, these
problems have not received complete and satisfactory
answers.
The present study falls within the context of this
debate. Its first aim was to analyse the importance of
sex, age and laterality in human population studies
based on nonmetric traits, while the second was to
evaluate the biological differentiation of some pop-
ulations of northern Sardinia (Sassari, Alghero,
Ozieri) through the calculation of biological distance.
We examined the skulls of Sardinian adults, of known
sex, exhumed in the early 1900s. In particular, 3
samples were analysed: 1 from Sassari (100 M, 100 F),
for which the age at death was also known, and the
other 2 from Alghero (65 M, 32 F) and Ozieri (62 M,
35 F). The material is contained in the Frassetto
Collection of the Department of Experimental Evol-
utionary Biology—Anthropology Unit, University of
Bologna, Italy. We scored 18 nonmetric traits ac-
cording to the modalities reported in the preceding
paper aimed at assessing the intra and interobserver
(Gualdi-Russo et al. 1999). In the scoring, we took
into account the points that emerged from that study,
i.e. the importance both of the researcher’s experience
and of a definition of the traits that leaves no room for
misinterpretation. The scorings were therefore carried
out by experts after mutual standardisation of the
scoring methods.
The following indications were also followed:
individuals older than 70 y were excluded, the sexes
were analysed separately, and both sides were scored
for bilateral traits.
For the sample of Sassari (the largest one), we
evaluated the possible differences between the sexes
and the correspondence between sides in the ex-
pression of the trait. The homogeneity of the
distribution of traits between sexes was assessed by
the χ# test. The difference between sides was assessed
by the formula χ#
!¯ (b®c)#}(bc) (Green et al.
1979), where b is left presence-right absence and c is
right presence-left absence, which is distributed as for
χ# with 1 .. The correlation between sides was
evaluated by the formula
φ¯²(ad®bc)#}(ab) (ac) (bd) (cd)´"#
where a is bilateral presence, b is left presence only, c
is right presence only, d is bilateral absence (Green
et al. 1979).
Since the age at death of the subjects in the Sassari
sample was known, it was possible to assess the
relation between this factor of variability and the trait
frequencies. To this purpose, the sample was divided
into 3 classes : ! 40 y (33 M, 33 F), 40–60 y (37 M,
37 F) and " 60 y (30 M, 30 F). The comparison was
made by χ#.
The biological distances between subsamples of
Sardinian population were calculated by MMD (mean
measure of divergence). The MMD between samples
1 and 2 is then given by the formula (Sjøvold, 1977;
Green et al. 1979) :
MMD¯ 1}r3j=",r
(θ"j®θ
#j)#®V
"#j
where: r¯number of traits considered, θ¯ "
#arcsin
(1®2x}(n1))"
#arcsin (1®2(x1)}(n1)), x¯
number of times the trait occurs, n¯number of sides
available for observation, and V"#j
is a correction
term. In particular :
V"#j
¯ (1}(N #
"j}(N
"j2n
"jφ"j)0±5))
(1}(N #
#j}(N
#j2n
#jφ#j)0±5))
for bilateral traits and
V"#j
¯ 1}(n"j0±5)1}(n
#j0±5)
for unilateral traits, where Nij¯ total number of sides
examined for jth trait in population i, nij¯number of
crania intact on both sides examined for jth trait in
population i, φij¯ the estimated correlation in the
occurrence of the jth trait from side to side in
population i found using the formula of Green et al.
(1979) previously reported.
In order to test the MMD values for significance,
the following formula was computed:
SDMMD
¯oVarMMD
¯o2}r# 3j=",r
V #
"#j.
If MMD}SDMMD
" 2, then the compared samples are
regarded as significantly divergent.
These distances were represented by means of
UPGMA (Numerical Taxonomy and Multivariate
Analysis¯NTSYS-pc; Rohlf, 1992). In the calcu-
lation of biodistance, the correlation between traits
was not considered. Although some authors (Conner,
1990; Konigsberg, 1990; Sciulli, 1990) have attributed
some importance to this element in the calculation of
biological distance, the data reported in the literature
are rather discordant, with associations that are
difficult to interpret and sometimes attributable to
sampling. Prowse & Lovell (1995) have underlined
that the correlation between traits in the various
studies has rarely reached statistical significance in
small samples.
552 P. Brasili, L. Zaccagni and E. Gualdi-Russo
Analysis of the data was performed with the BMDP
programs (Dixon, 1988).
Intrapopulation analysis
As already stated, the first phase of the study was
aimed at broadening our knowledge of the variability
of discontinuous traits according to sex, age and
laterality.
The frequency of the discontinuous traits in the
Sassari sample shows that in both sexes (Table 1) the
Table 1. Presence of the discontinuous traits in Sessari male and female samples (D.F.¯ 1)
Males Females
Traits }n % }n % χ# P
1. Bregmatic bone 2}94 2±1 0.96 0 0±527 0±468
2. Coronal ossicle 10}88 11±4 10}90 11±1 0±003 0±958
3. Sagittal ossicle 4}58 6±9 2}83 2±4 1±687 0±194
4. Lambdoid ossicle 50}85 58±8 51}92 55±4 0±207 0±649
5. Ossicle at lambda 11}83 13±3 11}85 12±9 0±004 0±952
6. Ossicle at asterion 24}99 24±2 12}100 12±0 5±032 0±025*
7. Epipteric bone 17}86 19±8 24}97 24±7 0±649 0±421
8. Squamous ossicle 8}95 8±4 11}100 11±0 0±368 0±544
9. Parietal notch bone 31}99 31±3 25}100 25±0 0±981 0±322
10. Frontotemporal articulation 2}83 2±4 0}91 0 0±604 0±437
11. Parietal foramen absent 54}99 54±5 46}99 46±5 1±293 0±256
12. Auditory torus 3}100 3±0 0}100 0 3±046 0±081
13. Palatine torus 32}98 32±7 41}98 41±8 1±768 0±184
14. Maxillary torus 10}62 16±1 10}42 23±8 0±951 0±330
15. Foramen spinosum open 4}100 4±0 2}99 2±0 0±667 0±414
16. Supraorbital foramen complete 14}100 14±0 19}100 19±0 0±907 0±341
17. Inca bone 2}100 2±0 1}100 1±0 0±338 0±561
18. Metopism 12}100 12±0 4}100 4±0 2±661 0±103
*P! 0±05.
Table 2. Differences by sex in data from literature
Traits
Population Period n Reference 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
British (London) Recent 182 3 M ¯ } M ¯ M F } M ¯ } } F F F F } F
Dutch (Amsterdam) Recent 254 21 M F } ¯ ¯ ¯ F } F F } ¯ F ¯ F ¯ } M
Italians (Romans) Modern 300 16 M M } F M M M F ¯ ¯ } ¯ M ¯ ¯ M } ¯Caucasians Modern 139 33 ¯ ¯ F } F M F F F F } ¯ F F F } } F
American Indians ? 286 34 ¯ ¯ } M F M F } M F } M F } ¯ M M F
Ukrainians Prehistoric 169 36 ¯ M M M M M M F F F } M F } F M F M
Iroquois Historic 839 37 } } } M } } ¯ } M } } } } } F F } }Italians (Sardinia) ? 260 18 M M M F ¯ } F M M F } M ¯ ¯ } } } F
Sardinians (Sassari) Recent 200 Present
study
M ¯ M M ¯ M F F M F M M F F M F ¯ M
Sardinians (Alghero) Recent 96 Present
study
¯ ¯ M ¯ ¯ M F F F F F ¯ F ¯ ¯ ¯ ¯ ¯
Sardinians (Ozieri) Recent 96 Present
study
¯ F M M M M F M ¯ ¯ F ¯ M ¯ ¯ ¯ ¯ M
} Trait not considered; ¯, no difference ; F, higher frequency in females ; M, higher frequency in males.
most common traits are the lambdoid ossicle, parietal
foramen absent, palatine torus and parietal notch
bone. There is also almost complete overlap of the
sexes for the frequency of the coronal ossicle and
ossicle at lambda. The only significant difference is for
the ossicle at the asterion, which is more frequent in
males (P¯ 0±03), as reported previously for other
populations (Brasili-Gualandi & Gualdi-Russo, 1989;
Vecchi, 1968). A significantly higher frequency of
ossicle at asterion in males has also been reported in
recent Sardinians from Seui-Seulo (30 oss., P¯ 5%)
(Maxia et al. 1974). One of our previous studies
Population study of nonmetric traits 553
Table 3. Presence of the discontinuous traits by age in Sassari males (D.F.¯ 2)
Traits
! 40
(n¯ 33)
40–60
(n¯ 37)
" 60
(n¯ 30) n χ# P
Bregmatic bone 0}32 2}34 0}28 94 3±606 0±165
Coronal ossicle 5}31 4}32 1}24 88 1±952 0±377
Sagittal ossicle 3}27 1}21 0}10 58 1±637 0±441
Lambdoid ossicle 19}31 17}30 14}24 85 0±138 0±933
Ossicle at lambda 3}31 4}32 4}20 83 1±152 0±562
Ossicle at asterion 5}33 8}36 11}30 99 4±087 0±130
Epipteric bone 4}31 4}35 9}20 86 10±484** 0±005**
Squamous ossicle 2}33 1}35 5}27 95 5±213 0±074
Parietal notch bone 9}33 14}37 8}29 99 1±17 0±557
Frontotemporal articulation 1}30 0}35 1}18 83 1±731 0±421
Parietal foramen absent 19}33 19}37 16}29 99 0±279 0±870
Auditory torus 1}33 1}37 1}30 100 0±023 0±989
Palatine torus 11}33 14}37 7}28 98 1±205 0±547
Maxillary torus 6}26 4}24 0}12 62 3±241 0±198
Foramen spinosum open 2}33 1}37 1}30 100 0±562 0±755
Supraorbital foramen complete 7}33 6}37 1}30 100 4±412 0±110
Inca bone 2}33 0}37 0}30 100 4±143 0±126
Metopism 2}33 4}37 1}30 100 1±490 0±475
**P! 0±01.
Table 4. Presence of the discontinuous traits by age in Sassari females (D.F.¯ 2)
Traits
! 40
(n¯ 33)
40–60
(n¯ 37)
" 60
(n¯ 30) n χ# P
Bregmatic bone 0}33 0}35 0}28 96 — —
Coronal ossicle 4}32 2}35 4}23 90 2±013 0±366
Sagittal ossicle 0}33 1}30 1}20 83 1±494 0±474
Lambdoid ossicle 19}33 19}34 13}25 92 0±183 0±912
Ossicle at lambda 8}32 2}32 1}21 85 6±649 0±036*
Ossicle at asterion 5}33 5}37 2}30 100 1±199 0±549
Epipteric bone 12}33 7}35 5}29 97 3±692 0±158
Squamous ossicle 2}33 5}37 4}30 100 1±228 0±541
Parietal notch bone 9}33 7}37 9}30 100 1±221 0±543
Frontotemporal articulation 0}33 0}32 0}26 91 — —
Parietal foramen absent 16}33 18}36 12}30 99 0±739 0±691
Auditory torus 0}33 0}37 0}30 100 — —
Palatine torus 17}33 12}36 12}29 98 2±343 0±310
Maxillary torus 4}27 4}12 2}3 42 4±842 0±089
Foramen spinosum open 1}32 1}37 0}30 99 0±903 0±637
Supraorbital foramen complete 7}33 8}37 4}30 100 0±896 0±639
Inca bone 0}33 0}37 1}30 100 2±357 0±308
Metopism 1}33 1}37 0}30 100 0±884 0±643
*P! 0±05.
(Brasili-Gualandi & Gualdi-Russo, 1989) of sex as a
factor of variability in the expression of discontinuous
traits concluded that it was preferable to separate the
sexes in the collection and analysis of the data. Sciulli
(1990) found the ossicle at asterion, as well as
other traits not considered here, to be significantly
correlated with sex and excluded them from the
calculation of biodistance. Conner (1990) and
Konigsberg (1990) did the same, although they did
not specify the traits involved. However, from what is
reported in the literature (Table 2), it is evident that
the trend in the expression of these traits in relation to
sex is rather variable in different populations.
This aspect agrees with what has been observed
previously (Corruccini, 1974; Brasili-Gualandi &
Gualdi-Russo, 1989) and confirms the opinion that
the different responses to this source of variability in
the expression of discontinuous traits in human
554 P. Brasili, L. Zaccagni and E. Gualdi-Russo
Table 5. Comparison by side in males from Sassari†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 74 3 4 3 84 9±399 0±14 0±418
88±1 3±6 4±8 3±6 0±002**
Lambdoid ossicle 35 8 8 32 83 31±286 0 0±614
42±2 9±6 9±6 38±6 0±0001**
Ossicle at asterion 75 12 6 6 99 9±293 2 0±306
75±8 12±1 6±1 6±1 0±0023**
Epipteric bone 65 0 9 6 80 28±108 9 0±593
81±3 — 11±3 7±5 0±0001** **
Squamous ossicle 84 3 0 5 92 44±022 3 0±777
91±3 3±3 — 5±4 0±0001**
Parietal notch bone 64 16 9 4 93 0±768 1±96 0±091
68±8 17±2 9±7 4±3 0±3807
Frontotemporal articulation 74 1 0 0 75 — 1 —
98±7 1±3 — —
Parietal foramen absent 45 11 20 23 99 12±357 2±61 0±353
45±5 11±1 20±2 23±2 0±0004**
Auditory torus 96 0 2 1 99 7±384 2 0±571
97 — 2 1 0±0059**
Palatine torus 66 4 5 23 98 58±529 0±11 0±773
67±3 4±1 5±1 23±5 0±0001**
Maxillary torus 42 0 2 5 49 26±068 2 0±826
85±7 — 4±1 10±2 0±0001**
Foramen spinosum open 93 2 2 0 97 5±321 0 0±021
95±9 2±1 2±1 — 0±0211*
Supraorbital foramen complete 86 5 6 3 100 5±256 0±09 0±294
86 5 6 3 0±0219*
† Percentage frequency and probability in italics ; *P! 0±05; **P! 0±01.
populations limit the possibility of assuming a precise
position on the subject. This induces us, in order to
limit the possible loss of information, to keep the sexes
separate whenever it is possible to diagnose the sex of
the skeletons.
In the Sassari sample, we also evaluated the possible
effect of age on the expression of the characters. In
general, the considered traits do not seem to be
influenced by age. In males (Table 3), only the
epipteric bone is significantly more frequent in the
oldest age group (" 60 y) (P¯ 0±005). In females
(Table 4), the ossicle at lambda is significantly
(P¯ 0±036) more frequent in the ! 40 y age group.
Nevertheless, it is difficult to believe that the differ-
ences observed in these traits can really be attributed
to the age of the individuals ; it seems more probable
that they are related to sampling. Finally, it should be
remembered that, as observed for sex, the results
obtained from various samples of a population can be
different, as also emphasised by Corruccini (1974) and
Sjøvold (1984).
We also ascertained whether there are differences in
the symmetric expression of the traits. Both in males
(Table 5) and females (Table 6), the symmetric
modality (a, d) is most frequent. The values of χ# are
statistically significant (P! 0±05) for practically all
traits, indicating a strong tendency to the same
expression of the nonmetric traits on both sides. The
exception in both sexes is the parietal notch bone and
in females only, the ossicle at asterion and supraorbital
foramen complete. However, the r values are generally
not very high; in fact, only in a few cases do they
approach 1 (Tables 5, 6). Considering the asymmetric
modality, we found that only the epipteric bone in
males has a significantly higher frequency on the right
side (χ#
!¯ 9; P! 0±005). A similar result was obtained
by Hauser & Bergman (1984) for the 2 medieval series
of Pitten and Zwentendorf combined (χ#
!¯ 4,9;
P! 0±05). In a sample from Siena previously studied
by us (Brasili-Gualandi & Gualdi-Russo, 1989), this
condition was observed for the lambdoid ossicle and
nasal foramen absent in males and females, for the
extrasutural ethmoidal foramen, supraorbital for-
amen complete and bipartite hypoglossal canal in
males and for the accessory infraorbital foramen and
frontal notch or foramen in females.
In general, the traits tend to exhibit a similar
expression on the 2 sides, as has been found in other
studies (Benassi-Graffi et al. 1979a, b ; Cosseddu et al.
1979; Korey, 1980; Ossenberg, 1981; McGrath et al.
Population study of nonmetric traits 555
Table 6. Comparison by side in females from Sassari†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 80 3 2 4 89 22±613 0±20 0±587
89±9 3±4 2±2 4±5 0±0001**
Lambdoid ossicle 38 14 13 21 86 10±34 0±04 0±347
44±2 16±3 15±1 24±4 0±0013**
Ossicle at asterion 85 8 3 1 97 0±051 2±27 0±112
87±6 8±2 3±1 1 0±8205
Epipteric bone 71 10 8 5 94 5±697 0±22 0±246
75±5 10±6 8±5 5±3 0±017*
Squamous ossicle 88 2 7 2 99 8±441 2±78 0±292
88±9 2 7±1 2 0±0037**
Parietal notch bone 73 13 9 3 98 0±753 0±73 0±088
74±5 13±3 9±2 3±1 0±3855
Frontotemporal articulation 79 0 0 0 79 — — —
100
Parietal foramen absent 53 16 14 15 98 7±688 0±13 0±280
54±1 16±3 14±3 15±3 0±0056**
Auditory torus 100 0 0 0 100 — — —
100
Palatine torus 57 4 3 34 98 0±14 0±849
58±2 4±1 3±1 34±7Maxillary torus 25 4 2 4 35 7±882 0±67 0±475
71±4 11±4 5±7 11±4 0±005**
Foramen spinosum open 96 1 1 0 98 23±997 0 0±010
98 1 1 — 0±0001**
Supraorbital foramen complete 81 6 10 3 100 3±615 1 0±190
81 6 10 3 0±0572
† Percentage frequency and probability in italics ; *P! 0±05; **P! 0±01.
1984; Brasili-Gualandi & Gualdi-Russo, 1989). This
can obviously be attributed to the common genetic
basis that governs the expression of the traits on the 2
sides of the skull.
The differences between sides sometimes observed
can be explained by the small size of the sample (and
thus to chance factors) or to mechanical factors
(Ossenberg, 1970), physiological factors (Ossenberg,
1969) or to other environmental factors (Berry, 1968;
Trinkaus, 1978).
For bilateral traits, some authors (Korey, 1980;
McGarth et al. 1984; Conner, 1990) have believed
that to avoid an excessive weight in the evaluation of
biological distances, it is best to ‘use the individual as
the unit of study’ or as Konigsberg (1990) stated, to
overcome the problem of the correlation between
sides : ‘ If both sides were observable, one side was
randomly selected (regardless of trait presence or
absence) ; if only one side was observable, it was used
for the scoring’. Scarsini et al. (1980) overcame the
problem by using the average presence and absence of
the traits on the 2 sides according to the mean number
of observable sides.
In our opinion, the problem is not whether to
express the bilateral traits in terms of individuals or of
sides, chosen randomly or not. Each of the methods
has its advantages ; in the one case, underestimating
them in the calculation of biodistances is avoided,
while in the other case information from incomplete
specimens can also be obtained. The main point is not
to lose the information that the symmetry}asymmetry
of expression can provide about exogenous factors
conditioning the expression of the traits. Therefore,
with the aim of losing as little information as possible,
we report the data in the Tables in terms both of
individuals and of sides. In fact, we believe it
preferable also to consider the presence}absence of
symmetry of trait expression; all the more that in our
chosen model of calculation of biological distances
(MMD), there are corrections that take account of the
weight of the bilaterality.
Interpopulation analysis
Taking note of the results of the intrapopulation
analysis, we extended our investigation to 2 other
samples from northern Sardinia : Alghero and Ozieri.
In the Alghero sample (Table 7), the traits with the
highest frequency are the lambdoid ossicle and
parietal foramen absent, followed by palatine torus
556 P. Brasili, L. Zaccagni and E. Gualdi-Russo
Table 7. Presence of the discontinuous traits in Alghero male and female samples (d.f.¯ 1)
Males Females
Traits % % χ# P
Bregmatic bone 2}55 3±6 0}30 0 0±095 0±758
Coronal ossicle 7}59 11±9 3}29 10±3 0±045 0±833
Sagittal ossicle 6}44 13±6 2}26 7±7 0±570 0±450
Lambdoid ossicle 30}55 54±5 18}32 56±2 0±024 0±878
Ossicle at lambda 4}44 9±1 2}27 7±4 0±061 0±805
Ossicle at asterion 8}65 12±3 1}32 3±1 2±148 0±142
Epipteric bone 6}60 10±0 5}29 17±2 0±946 0±331
Squamous ossicle 2}65 3±1 3}32 9±4 1±740 0±187
Parietal notch bone 5}65 7±7 5}32 15±6 1±459 0±227
Frontotemporal articulation 2}65 3±1 2}31 6±5 0±599 0±439
Parietal foramen absent 30}64 46±9 21}32 65±6 3±012 0±083
Auditory torus 1}65 1±5 0}32 0 0±000 1±000
Palatine torus 17}65 26±2 13}30 43±3 2±804 0±094
Maxillary torus 6}32 18±7 2}10 20±0 0±008 0±930
Foramen spinosum open 0}64 0 1}32 3±1 0±126 0±722
Supraorbital foramen complete 14}65 21±5 8}32 25±0 0±147 0±702
Inca bone 0}65 0 0}32 0 — —
Metopism 6}65 9±2 3}32 9±4 0±001 0±982
Table 8. Presence of the discontinuous traits in Ozieri male and female samples (d.f.¯ 1)
Males Females
Traits % % χ# P
Bregmatic bone 1}59 1±7 0}34 0 0±000 1±000
Coronal ossicle 3}59 5±1 4}33 12±1 1±491 0±222
Sagittal ossicle 11}42 26±2 5}33 15±2 1±342 0±247
Lambdoid ossicle 36}53 67±9 20}32 62±5 0±261 0±609
Ossicle at lambda 7}48 14±6 2}32 6±2 1±335 0±248
Ossicle at asterion 9}59 15±3 4}35 11±4 0±270 0±604
Epipteric bone 7}56 12±5 9}34 26±5 2±825 0±093
Squamous ossicle 3}61 4±9 1}35 2±9 0±237 0±627
Parietal notch bone 4}60 6±7 2}35 5±7 0±034 0±854
Frontotemporal articulation 2}62 3±2 0}34 0 0±097 0±756
Parietal foramen absent 37}62 59±7 23}25 65±7 0±346 0±557
Auditory torus 2}62 3±2 0}35 0 0±109 0±742
Palatine torus 23}61 37±7 8}33 24±2 1±756 0±185
Maxillary torus 5}26 19±2 3}16 18±7 0±001 0±969
Foramen spinosum open 3}62 4±8 2}35 5±7 0±035 0±851
Supraorbital foramen complete 17}62 27±4 9}35 25±7 0±033 0±856
Inca bone 1}61 1±6 0}35 0 0±000 1±000
Metopism 7}62 11±3 2}35 5±7 0±826 0±363
and supraorbital foramen complete ; there are no
great differences between the sexes. The Ozieri sample
(Table 8) exhibits a very similar pattern; however,
there are high frequencies also of the epipteric bone in
females and the sagittal ossicle in males.
Comparing these results with those of Sassari, we
note a certain similarity with regard to the most
frequent traits (lambdoid ossicle, parietal foramen
absent and palatine torus), especially in the males.
Some differences are observed in the frequency of the
other traits, for instance the sagittal ossicle, which is
clearly more frequent in the males of Ozieri, the
ossicle at asterion in the Sassari males, etc.
Concerning laterality, we found that symmetry of
expression always prevailed in the Alghero sample.
The statistical tests of symmetry reach significance for
most traits in males (Table 9) (the exceptions are the
coronal, asterion and epipteric ossicles), but only for
some in females (Table 10) (lambdoid and epipteric
ossicles, frontotemporal articulation and palatine
Population study of nonmetric traits 557
Table 9. Comparison by side in males from Alghero†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 50 3 2 1 56 0±433 0±20 0±24
89±3 5±4 3±6 1±8 0±5103
Lambdoid ossicle 24 6 6 13 49 11±489 0 0±48
49 12±2 12±2 26±5 0±0007**
Ossicle at asterion 52 5 1 1 59 0±498 2±67 0±25
88±1 8±5 1±7 1±7 0±4802
Epipteric bone 46 4 1 0 63 2±508 1±80 0±04
90±2 7±8 2 0±1133
Squamous ossicle 61 1 0 1 63 7±248 1 0±70
96±8 1±6 1±6 0±0071**
Parietal notch bone 57 4 0 0 61 — 4 —
93±4 6±6Frontotemporal articulation 62 0 1 0 63 — 1 —
98±4 1±6Parietal foramen absent 34 6 8 16 64 17±75 0±29 0±53
53±1 9±4 12±5 25 0±0001**
Auditory torus 64 1 0 0 65 — 1 —
98±5 1±5Palatine torus 48 1 2 14 65 49±623 0±33 0±87
73±8 1±5 3±1 21±5 0±0001**
Maxillary torus 21 1 0 3 25 17±898 1 0±85
84 4 12 0±0001**
Foramen spinosum open 63 0 0 0 63 — — —
100
Supraorbital foramen complete 51 5 5 4 65 8±199 0 0±36
78±5 7±7 7±7 6±2 0±0042**
† Percentage frequency and probability in italics ; **P! 0±01.
Table 10. Comparison by side in females from Alghero†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 24 2 1 0 27 2±747 0±33 0±06
88±9 7±4 3±7 0±0975
Lambdoid ossicle 11 3 5 9 28 5±25 0±50 0±43
39±3 10±7 17±9 32±1 0±0219*
Ossicle at asterion 30 1 0 0 31 — 1 —
96±8 3±2Epipteric bone 18 2 0 3 23 7±693 2 0±73
78±3 8±7 13 0±0055**
Squamous ossicle 28 1 1 1 31 1±219 0 0±47
90±3 3±2 3±2 3±2 0±2696
Parietal notch bone 26 2 1 1 30 0±536 0±33 0±36
86±7 6±7 3±3 3±3 0±4642
Frontotemporal articulation 26 1 1 0 28 6±491 0±33 0±04
92±9 3±6 3±6 0±0108*
Parietal foramen absent 11 4 8 10 31 2±795 1±33 0±29
35±5 12±9 19±4 32±3 0±0945
Auditory torus 32 0 0 0 32 — — —
100
Palatine torus 16 2 2 9 29 14±499 0 0±71
55±2 6±9 6±9 31 0±0001**
Maxillary torus 7 1 1 0 9 1±723 0 0±12
77±8 11±1 11±1 0±1894
Foramen spinosum open 30 1 0 0 31 — 1 —
96±8 3±2Supraorbital foramen complete 24 3 2 3 32 3±799 0±20 0±45
75 9±4 6±2 9±4 0±0513
† Percentage frequency and probability in italics ; *P! 0±05; **P! 0±01.
558 P. Brasili, L. Zaccagni and E. Gualdi-Russo
Table 11. Comparison by side in males from Ozieri†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 55 2 0 1 58 4±169 2 0±57
94±8 3±4 1±7 0±0412*
Lambdoid ossicle 16 8 5 21 50 11±528 0±69 0±48
32 16 10 42 0±0007**
Ossicle at asterion 50 1 6 2 59 3±581 3±57 0±36
84±7 1±7 10±2 3±4 0±058
Epipteric bone 41 4 1 2 48 4±114 1±80 0±42
85±4 8±3 2±1 4±2 0±043*
Squamous ossicle 53 0 0 2 55 30±164 — 1
96±4 3±6 0±0001**
Parietal notch bone 54 3 1 0 58 4±169 1 0±03
93±1 5±2 1±7 0±0412*
Frontotemporal articulation 60 0 0 2 62 34±104 — 1
96±8 3±2 0±001**
Parietal foramen absent 25 11 10 16 62 5±895 0±05 0±31
40±3 17±7 16±1 25±8 0±0152*
Auditory torus 60 1 0 1 62 7±123 1 0±70
96±8 1±6 1±6 0±0076**
Palatine torus 38 3 2 18 61 40±71 2 0±82
62±3 4±9 3±3 29±5 0±0001**
Maxillary torus 19 0 1 3 23 10±442 1 0±84
82±6 4±3 13 0±0012**
Foramen spinosum open 55 0 3 0 58 — 3 —
94±8 5±2Supraorbital foramen complete 45 7 6 4 62 4±047 0±08 0±26
72±6 11±3 9±7 6±5 0±0442*
† Percentage frequency and probability in italics ; *P! 0±05; **P! 0±01.
Table 12. Comparison by side in females from Ozieri†
Traits
d
®®c
®b
®a
n
χ#
(d.f.¯ 1) χ#
!φ
Coronal ossicle 28 3 0 1 32 1±327 3 0±48
87±5 9±4 3±1 0±2493
Lambdoid ossicle 11 4 2 13 30 10±995 1 0±61
36±7 13±3 43±3 6±7 0±0009**
Ossicle at asterion 50 1 2 1 34 1±497 0±33 0±38
88±2 2±9 5±9 2±9 0±2212
Epipteric bone 25 3 2 3 33 6±927 0±2 0±46
75±8 9±1 6±1 9±1 0±0085**
Squamous ossicle 33 1 0 0 34 — 1 —
97±1 2±9Parietal notch bone 32 1 1 0 34 7±993 0 0±03
94±1 2±9 2±9 0±0047**
Frontotemporal articulation 32 0 0 0 32 — — —
100
Parietal foramen absent 12 4 8 11 35 3±838 1 0±33
34±3 11±4 22±9 31±4 0±0501
Auditory torus 35 0 0 0 35 — — —
100
Palatine torus 25 0 1 7 33 22±776 1 0±92
75±8 3 21±2 0±0001**
Maxillary torus 12 0 1 1 14 1±122 1 0±68
85±7 7±1 7±1 0±2895
Foramen spinosum open 30 1 0 1 32 3±372 1 0±70
93±7 3±1 3±1 0±0663
Supraorbital foramen complete 26 4 4 1 35 0±087 — 0±07
74±3 11±4 11±4 2±9 0±7674
† Percentage frequency and probability in italics ; **P! 0±01.
Population study of nonmetric traits 559
FEMALES
MALES
0.0000.0040.0080.0120.016
0.04 0.03 0.02 0.01 –0.00
SASSARI
ALGHERO
OZIERI
SASSARI
ALGHERO
OZIERI
Fig. Biological distances for female and male Sardinian series.
torus). In the Ozieri males (Table 11), symmetric trait
expression is always significantly more frequent, while
the females (Table 12) show this condition only for the
lambdoid and epipteric ossicles, the parietal notch
bone and the palatine torus.
On the basis of the frequencies of the 18 nonmetric
traits, we calculated the biological distances among
the 3 Sardinian series (Fig.). The greatest distance was
between the males of Sassari and Ozieri, which reaches
the limits of statistical significance, and between the
females of Ozieri and Alghero.
In view of the biological and cultural peculiarities
of the Sardinian populations, it seemed interesting at
this point to compare the results based on nonmetric
traits with those based on blood genetic markers.
However, despite the large number of relevant studies
(Pettener et al. 1990; Gruppioni et al. 1991; Brasili-
Gualandi et al. 1993; Vona, 1997), there are not many
possible comparisons, since the various authors
usually refer to the subdivision of the territory into
historical-geographical areas and not to single places,
as in our case. The latter are instead considered in
Martuzzi-Veronesi et al. (1983), in which the values of
genetic distance (Cavalli Sforza & Edwards, 1967,
Cavalli Sforza et al. 1969) (Alghero}Ozieri¯0±03772, Alghero}Sassari¯0±02084, Ozieri}Sassari¯0±03198) and kinship (Morton, 1973) (Alghero}Ozieri¯®0±00012, Alghero}Sassari¯ 0±00046,
Ozieri}Sassari¯®0±00083) calculated on the basis
of the ABO, Rh and Kell systems exhibit distances
between the considered areas that are similar to those
found by us on the basis of nonmetric traits. Our
results agree with the subdivision into historical-
geographical areas proposed by Carta Raspi (1971),
which stated that Alghero and Sassari are included
in Nurra, while Ozieri is part of Logudoro.
The first aim of the present study was to broaden our
knowledge of the importance of sex, age and laterality
in the analysis of nonmetric traits as indicators of the
biological distance between populations.
Our results for the sample of Sassari, supported
also by those of Ozieri and Alghero and by literature
reports, suggest that it is not possible at present to
assume a definitive position on the influence of sex on
the expression of nonmetric traits. In fact, there are
significant differences both in our results and in those
reported by other authors, but the traits involved vary
according to the population studied. This aspect is in
contrast with the choice of traits with a strong genetic
component, which should behave, even if dependent
on the sex, in a similar manner in the different
populations. However, since we do not have a clear
indication of the role played by sex, we believe that it
is preferable, where possible, to take sex differences
into account, even though the contrary situation
should not invalidate the results obtained from
calculation of the biodistance on account of the
genetic basis of the considered traits.
The age of the individual does not appear to affect
the expression of the nonmetric traits. However, for
these samples, as for the previous ones examined
560 P. Brasili, L. Zaccagni and E. Gualdi-Russo
(Siena, Bologna), we observed that advanced age
reduces the ‘ legibility ’ of some traits and thus can
limit their use as indicators, especially in cases where
populations are studied that include a high percentage
of elderly individuals.
It appears to be important to consider the laterality
of discontinuous traits, especially to avoid losing
information about the influence of the environment,
which might be the basis of possible asymmetries. On
the other hand, use of the MMD as the coefficient of
distance avoids some problems in this respect, since it
allows contemporaneously the sides and their cor-
relation to be considered.
The results of our interpopulation analysis, con-
cerning the variability of the Sardinian populations,
are encouraging. In particular, the agreement between
our results and those from the same populations
obtained with blood genetic markers is interesting.
This trend strengthens the hypothesis of the validity of
the use of nonmetric traits in the study of the peopling
of a territory. The results of the present investigation
prompt us to extend our study to other samples of
Sardinia for a broader and more complete evaluation
of the relationships among the populations of the
different regions of the island.
The current study was supported by CNR grant N.
96.00972.CT15 and 98.03837.CT15.
AXELLSON G, HEDEGAARD B (1985) Torus palatinus in
Icelandic school children. American Journal of Physical Anthro-
pology 67, 105–112.
BENASSI-GRAFFI E, FACCHINI F, BRASILI-GUALANDI P,
GUALDI-RUSSO E (1979a) Sulle ossa soprannumerarie del
cranio. Nota preliminare. Antropologia Contemporanea 2, 311–
314.
BENASSI-GRAFFI E, FACCHINI F, GUALDI-RUSSO E,
BRASILI-GUALANDI P (1979b) Ricerche sulle ossa sopran-
numerarie del cranio. Quaderni di Anatomia Pratica 35, 321–331.
BERRY AC (1975) Factors affecting the incidence of non-metrical
skeletal variants. Journal of Anatomy 120, 519–535.
BERRY RJ (1968) The biology of non-metrical variation in mice
and men. In The Skeletal Biology of Earlier Human Populations
(ed. Brothwell DR), pp. 103–133. London: Pergamon Press.
BRASILI-GUALANDI P, GUALDI-RUSSO E (1980–1981) Stu-
dio sulle relazioni tra ossa soprannumerarie e caratteri metrici del
cranio. Rivista di Antropologia 61, 291–302.
BRASILI-GUALANDI P, GUALDI-RUSSO E (1989) Discon-
tinuous traits of the skull : variations on sex, age, laterality.
Anthropologischer Anzeiger 47, 239–250.
BRASILI-GUALANDI P, LUISELLI D, GRUPPIONI G, VONA
G (1993) Analysis of the polymorphism of haptoglobins in
Sardinia. International Journal of Anthropology 8, 195–204.
BUIJSTRA JE, FRANKEBERG SR, KONIGSBERG LW (1990)
Skeletal biological distance studies in American physical anthro-
pology: recent trends. American Journal of Physical Anthropology
82, 1–7.
CARTA RASPI R (1971) Storia della Sardegna. Mursia.
CAVALLI SFORZA LL, EDWARDS WF (1967) Phylogenetic
analysis models and estimation procedures. In Martuzzi Veronesi
et al. (1983), op. cit.
CAVALLI SFORZA LL, ZONTA LA, NUZZO L, BERNINI L,
DE JONG WW, MEERA KHAN P et al. (1969) Studies on
African Pygmees. I. A pilot investigation of Babinga Pygmees in
the Central African Republic (with an analysis of genetic
distances). In Martuzzi Veronesi et al. (1983), op. cit.
CESNYS G (1982) Side difference of non-metrical cranial traits in
the 1st–2nd millenia .. Lithuanian materials. Homo 33,
201–209.
CESNYS G, KONDUKTOROVA TS (1982) Cited by Hauser &
De Stefano (1989), op. cit.
CHRISTENSEN AF (1997) Cranial non-metric variation in North
and Central Mexico. Anthopologischer Anzeiger 55, 15–32.
CONNER MD (1990) Population structure and skeletal variation
in the Late Woodland of West-Central Illinois. American Journal
of Physical Anthropology 82, 31–43.
CORRUCCINI RS (1974) An examination of the meaning of
cranial discrete traits for human skeletal biological studies.
American Journal of Physical Anthropology 40, 425–446.
COSSEDDU GC, FLORIS G, VONA G (1979) Sex and side
differences in the minor non-metrical cranial variants. Journal of
Human Evolution 8, 685–692.
DAHINTEN SL, PUCCIARELLI HM (1983) Effects of protein-
calorie malnutrition during suckling and post-weaning periods
on discontinuous cranial traits in rats. American Journal of
Physical Anthropology 60, 425–430.
DIXON WJ (1988) BMDP Statistical Software Manual. Berkeley:
University of California Press.
FINNEGAN M (1972) Cited by Hauser & de Stefano (1989), op.
cit.
GOLDSTEIN MS, ARENSBURG B, NATHAN H (1980) Skeletal
remains of jews from the hellenistic and roman periods in Israel.
Bulletins et MeUmoire de la SocieU teU d ’Anthropologie de Paris 7,
279–295.
GREEN RF, SUCHEY JM, GOKHALE DV (1979) The statistical
treatment of correlated bilateral traits in the analysis of cranial
material. American Journal of Physical Anthropology 50, 629–634.
GRUPPIONI G, BRASILI-GUALANDI P, VONA G (1991)
Research on the distribution of properdin factor B in Sardinia.
Gene Geography 5, 95–102.
GUALDI-RUSSO E, BRASILI-GUALANDI P (1977}79) Con-
fronto statistico tra antiche popolazioni della Sicilia sud-
orientale : analisi multivariata dei caratteri metrici ed epigenetici
del cranio. Rivista di Antropologica 60, 231–250.
GUALDI-RUSSO E, BRASILI P, TASCA A (1999) Scoring of
nonmetric cranial traits : a methodological approach. Journal of
Anatomy 195, 543–550.
HAUSER G, BERGMAN P (1984) Some biological and methodo-
logical problems of asymmetrical development illustrated with
reference to sutural bones. Anthropologischer Anziger 42, 101–116.
HAUSER G, DE STEGANO GF (1989) Epigenetic Variants of the
Human Skull. Stuttgart : Schwizerbartsche.
KONIGSBERG LW (1990) Temporal aspects of biological dis-
xtance: serial correlation and trend in a prehistoric skeletal
lineage. American Journal of Physical Anthropology 82, 45–52.
KOREY KA (1980) The incidence of bilateral nonmetric skeletal
traits : a reanalysis of sampling procedures. American Journal of
Physical Anthropology 53, 19–23.
MARTUZZI-VERONESI F, PETTENER D, STANGONI A
(1983) Struttura genetica della popolazione della Sardegna
settentrionale. Antropologia Contemporanea 6, 21–31.
Population study of nonmetric traits 561
MAXIA C, COSSEDDU G, FENU A, FLORIS G, LUCIA G,
VONA G (1974) I caratteri epigenetici cranici in popolazioni
sarde dalla preistoria ai tempi attuali. Archivio per l ’Antropologia
e la Etnologia 104, 211–225.
MGRATHJW, CHEVERUD JM,BUIKSTRAJE (1984) Genetic
correlations between sides and heritability of asymmetry for
nonmetric traits in Rhesus Macaques on Cayo Santiago.
American Journal of Physical Anthropology 64, 401–411.
MILNE N, SCHMITT LH, FREEDMAN L (1983) Discrete trait
variation in Western Australian aboriginal skulls. Journal of
Human Evolution 12, 157–168.
MOLTO JE (1983) Cited by Hauser & De Stefano (1989).
MORTON NE (1973) Genetic structure of populations. In
Martuzzi Veronesi et al. (1983), op. cit.
MULLER H (1977) Caracte' res non-metriques du squelette de la
tete che! z les populations medie! vales de Thoiry (Ain, France) et de
Bavois (Vaud, Suisse). Archive Suisse d ’Anthropologie General
41, 123–164.
OSSENBERG NS (1969) Cited by Ossenberg (1976).
OSSENBERG NS (1970) The influence of artificial cranial
deformation on discontinuous morphological traits. American
Journal of Physical Anthropology 33, 357–372.
OSSENBERG NS (1976) Within and between race distances in
population studies based on discrete traits of the human skull.
American Journal of Physical Anthropology 45, 701–716.
OSSENBERG NS (1981) An argument for the use of total side
frequencies of bilateral nonmetric skeletal traits in population
distance analysis : the regression of symmetry on incidence.
American Journal of Physical Anthropology 54, 471–479.
PATHAK RK, KAUL SS (1991) Nonmetric cranial variation and
biological distances between samples of six non-tribal popu-
lations of India. International Journal of Anthropology 6, 81–87.
PERIZONIUS WRK (1974) Non-metric cranial traits : sex differ-
ence and age dependence. Journal of Human Evolution 8, 679–684.
PETTENER D, DE IASIO S, LUCCHETTI E, MARTUZZI-
VERONESI F (1990) Analisi dell’evoluzione della struttura
biologica e della struttura per cognomi nella popolazione della
Sardegna Settentrionale. Antropologia Contemporanea 13,
121–131.
PROWSE TL, LOVELL NC (1995) Biological continuity between
the A- and C-Groups in Lower Nubia: evidence from cranial
non-metric traits. International Journal of Osteoarchaeology 5,
103–114.
REGGIO G, MASALI M, CHIARELLI B (1969) Caratteri
epigenetici del cranio degli antichi Egizi e loro interesse etnico.
Rivista di Antropologia 56, 199–202.
ROHLF FJ (1992) NTSYS-pc Numerical Taxonomy and Multi-
variate Analysis System. Version 1.7. Owner’s Manual.
SCARSINI C, ROSSI V, MESSERI P (1980) Caratteri cranici
discontinui in Sardi di Nuoro. Seminario di Scienze Antro-
pologiche 2, 1–68.
SCIULLI PW (1990) Cranial metric and discrete trait variation and
biological differentiation in the terminal Late Archaic of Ohio:
the Duff site cemetery. American Journal of Physical Anthropology
82, 19–29.
SJØVOLD T. (1977) Non-metrical divergence between skeletal
populations. Ossa 4, sup. 1, 1–133.
SJØVOLD T (1984) A report on the hereditability of some cranial
measurements and non-metric traits. In Multivariate Statistical
Methods in Physical Anthropology (ed. Van Vark GN, Owells
WW), pp. 223–246. Dordrecht : D. Reidel.
TRINKAUS E (1978) Bilateral asymmetry of human skeletal non-
metric traits. American Journal of Physical Anthropology 49,
315–318.
TURBON D, PONS J (1982) Aportaciones al estudio del
metopismo. Trabajos de Antropologia 113–131.
VECCHI F (1968) Sesso e variazioni di caratteri discontinui del
cranio. Rivista di Antropologia 55, 283–290.
VONA G (1997) The peopling of Sardinia (Italy) : history and
effects. International Journal of Anthropology 12, 71–87.
WOO JK (1950) Torus palatinus. American Journal of Physical
Anthropology 8, 81–111.
562 P. Brasili, L. Zaccagni and E. Gualdi-Russo